# School Curriculum-based Mathematics

## AoPS Pre-Algebra

5th~7th Grades

Our Pre-Algebra course covers fundamental concepts and problem solving skills for in the following topics: arithmetic, prime numbers, factors and multiples, decimals and fractions, ratios and proportions, exponents, percents, square roots, word problems, equations and functions, counting and probabilities and more.

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## Algebra (Regular, Advanced or AoPS Algebra)

6th~8th Grades

Our Algebra course covers the following topics: linear equations and inequalities, exponents, polynomials, radicals, ratios and proportions, factoring, quadratic equations and functions, permutations and combinations, and more. We have two levels for Algebra: Regular and Advanced.

## Geometry (Honors, Competition)

7th~10th Grades

Our Geometry course covers the following topics: proofs, angles, triangles, quadrilaterals, polygons, circles, three-dimensional figures, triangle trigonometry, and coordinate geometry. We have two different courses for Geometry: Honors ("school") Geometry and Competition Geometry. In Competition Geometry, students learn more advanced topics and solve challenging problems that may be seen in AMC10/12.

## Algebra 2

7th~8th Grades

Our Algebra 2 course covers the following topics: quadratic equations and functions, systems of linear equations and inequalities, factoring, polynomials, rational functions, sequences and series, exponential and logarithmic functions, trigonometry, introductory statistics, and more.

## (Advanded) Analysis 1 (advanced algebra 2)

8th~9th Grades

Topics covered: functions and transformations, polynomials, rational functions, exponential and logarithmic functions, triangle and circle trigonometry, sequences and series, logic, etc.

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## (Advanded) Analysis 2 (pre-calculus)

9th~10th Grades

Topics covered: various functions, advanced trigonometry, limits and continuity, matrices, vectors (in R2 & R3), complex numbers, polar equations, conic sections, introductory calculus, etc.

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## Calculus AB/BC

9th~12th Grades

Calculus is the study of how things change. Its concepts have numerous applications in science and engineering. Our course covers the following topics:

(AB/BC common): limits, derivatives, integration, integration techniques, differential equations, application of derivatives and integrals

(BC only) series, calculus topics related to vectors, parametric equations, polar equations, and conics, other advanced topics